A store owner had the same number of peaches, persimmons and dragonfruits at first. After 63 dragonfruits, some peaches and persimmons were thrown away, there were 142 fruits left. There were four times as many peaches as persimmons left. The number of dragonfruits left was 29 fewer than the number of peaches. How many persimmons were thrown away?
| |
Peaches |
Persimmons |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 63 |
|
| After |
4 u |
1 u |
4 u - 29 |
142 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 29
= 9 u - 29
9 u - 29 = 142
9 u = 142 + 29
9 u = 171
1 u = 171 ÷ 9 = 19
Number of dragonfruits at first
= 4 u - 29 + 63
= 4 x 19 - 29 + 63
= 76 - 29 + 63
= 110
The number of persimmons and dragonfruits at first was the same.
Number of persimmons thrown away
= 110 - 1 u
= 110 - 19
= 91
Answer(s): 91
